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4324334420 = 2257232946309
BaseRepresentation
bin1000000011100000…
…00001101101010100
3102011100222221122002
410001300001231110
532324012200140
61553033254432
7212106143660
oct40160015524
912140887562
104324334420
111919a794aa
12a08264418
1353bb8c783
142d045d8a0
151a498e415
hex101c01b54

4324334420 has 96 divisors (see below), whose sum is σ = 11203315200. Its totient is φ = 1369234944.

The previous prime is 4324334419. The next prime is 4324334423. The reversal of 4324334420 is 244334234.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324334423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70226 + ... + 116534.

It is an arithmetic number, because the mean of its divisors is an integer number (116701200).

Almost surely, 24324334420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4324334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601657600).

4324334420 is an abundant number, since it is smaller than the sum of its proper divisors (6878980780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4324334420 is a wasteful number, since it uses less digits than its factorization.

4324334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46377 (or 46375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 4324334420 is about 65759.6716840953. The cubic root of 4324334420 is about 1629.1950835356.

Adding to 4324334420 its reverse (244334234), we get a palindrome (4568668654).

The spelling of 4324334420 in words is "four billion, three hundred twenty-four million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 58 70 92 115 116 140 145 161 203 230 290 322 406 460 580 644 667 805 812 1015 1334 1610 2030 2668 3220 3335 4060 4669 6670 9338 13340 18676 23345 46309 46690 92618 93380 185236 231545 324163 463090 648326 926180 1065107 1296652 1342961 1620815 2130214 2685922 3241630 4260428 5325535 5371844 6483260 6714805 7455749 9400727 10651070 13429610 14911498 18801454 21302140 26859220 29822996 30888103 37278745 37602908 47003635 61776206 74557490 94007270 123552412 149114980 154440515 188014540 216216721 308881030 432433442 617762060 864866884 1081083605 2162167210 4324334420